Algebra, NAP_10022

Question

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Worked Solution

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Variant 0

DifficultyLevel

406

Question

Dean earns $20 in the first week of his casual job.

He then earns twice as much as he did the previous week for the next 4 weeks.

Dean's total earnings, in dollars, in any given week will be which of the following:

Worked Solution

1st week: $20 (even)

2nd week: 20 + 40 = $60 (even)

3rd week: 60 + 120 = $180 (even)

Any week: even + even = even

∴ Total amount is always an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Dean earns $20 in the first week of his casual job. He then earns twice as much as he did the previous week for the next 4 weeks. Dean's total earnings, in dollars, in any given week will be which of the following:
workedSolution
1st week: $20 (even) 2nd week: 20 + 40 = $60 (even) 3rd week: 60 + 120 = $180 (even) Any week: even + even = even ∴ Total amount is always an even number.
correctAnswer
Always even

Answers

Is Correct?Answer
x

Always odd

x

Sometimes odd sometimes even

✓

Always even

x

None of the above

Variant 1

DifficultyLevel

407

Question

Bindera earns $9 in her first day selling homemade lemondade.

She then earns twice as much as she did the previous day for the next 4 days.

Bindera's total earnings, in dollars, on any given day will be which of the following:

Worked Solution

1st week: $9 (odd)

2nd week: $9 + $18 = $27 (odd)

3rd week: $27 + $54 = $81 (odd)

Any week: odd + even = odd

∴ Total amount is always an odd number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bindera earns $9 in her first day selling homemade lemondade. She then earns twice as much as she did the previous day for the next 4 days. Bindera's total earnings, in dollars, on any given day will be which of the following:
workedSolution
1st week: $9 (odd) 2nd week: $9 + $18 = $27 (odd) 3rd week: $27 + $54 = $81 (odd) Any week: odd + even = odd ∴ Total amount is always an odd number.
correctAnswer
Always odd

Answers

Is Correct?Answer
✓

Always odd

x

Always even

x

Sometimes odd sometimes even

x

None of the above

Variant 2

DifficultyLevel

408

Question

TJ sells 3 watermelons on Monday.

He then sells twice as many as he did the previous day for the next 4 days.

TJ's total sales on any given day will be which of the following:

Worked Solution

Monday: 3 (odd)

Tuesday: 3 + 6 = 9 (odd)

Wednesday: 9 + 18 = 27 (odd)

Any week: odd + even = odd

∴ Total amount is always an odd number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
TJ sells 3 watermelons on Monday. He then sells twice as many as he did the previous day for the next 4 days. TJ's total sales on any given day will be which of the following:
workedSolution
Monday: 3 (odd) Tuesday: 3 + 6 = 9 (odd) Wednesday: 9 + 18 = 27 (odd) Any week: odd + even = odd ∴ Total amount is always an odd number.
correctAnswer
Always odd

Answers

Is Correct?Answer
x

Sometimes odd sometimes even

✓

Always odd

x

Always even

x

None of the above

Variant 3

DifficultyLevel

410

Question

Jimmy walks 4 kilometres on the first day of his fitness program.

He then walks twice as far as he did the previous day for the next 4 days.

Jimmy's total distance, in kilometres, on any given day will be which of the following:

Worked Solution

Day 1: 4 kms (even)

Day 2: 4 + 8 = 12 kms (even)

Day 3: 12 + 24 = 36 kms (even)

Any day : even + even = even

∴ Total distance is always an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jimmy walks 4 kilometres on the first day of his fitness program. He then walks twice as far as he did the previous day for the next 4 days. Jimmy's total distance, in kilometres, on any given day will be which of the following:
workedSolution
Day 1: 4 kms (even) Day 2: 4 + 8 = 12 kms (even) Day 3: 12 + 24 = 36 kms (even) Any day : even + even = even ∴ Total distance is always an even number.
correctAnswer
Always even

Answers

Is Correct?Answer
x

Sometimes odd sometimes even

x

Always odd

✓

Always even

x

None of the above

Variant 4

DifficultyLevel

411

Question

Justine deposits $7 in her money box.

She then deposits four times as much as she did the previous week for the next 4 weeks.

Justine's total savings, in dollars, in any given week will be which of the following:

Worked Solution

1st week: $3 (odd)

2nd week: 3 + 12 = $15 (odd)

3rd week: 15 + 60 = $75 (odd)

4th week: 75 + 300 = $75 (odd)

Any week: odd + odd = odd

∴ Total amount is always an odd number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Justine deposits $7 in her money box. She then deposits four times as much as she did the previous week for the next 4 weeks. Justine's total savings, in dollars, in any given week will be which of the following:
workedSolution
1st week: $3 (odd) 2nd week: 3 + 12 = $15 (odd) 3rd week: 15 + 60 = $75 (odd) 4th week: 75 + 300 = $75 (odd) Any week: odd + odd = odd ∴ Total amount is always an odd number.
correctAnswer
Always odd

Answers

Is Correct?Answer
x

Always even

✓

Always odd

x

Sometimes odd sometimes even

x

None of the above

Variant 5

DifficultyLevel

412

Question

Pimm earns $10 in the first week of her casual job.

She then earns 4 times as much as she did the previous week for the next 4 weeks.

Pimm's total earnings, in dollars, in any given week will be which of the following:

Worked Solution

1st week: $10 (even)

2nd week: 10 + 40 = $50 (even)

3rd week: 50 + 200 = $250 (even)

Any week: even + even = even

∴ Total amount is always an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Pimm earns $10 in the first week of her casual job. She then earns 4 times as much as she did the previous week for the next 4 weeks. Pimm's total earnings, in dollars, in any given week will be which of the following:
workedSolution
1st week: $10 (even) 2nd week: 10 + 40 = $50 (even) 3rd week: 50 + 200 = $250 (even) Any week: even + even = even ∴ Total amount is always an even number.
correctAnswer
Always even

Answers

Is Correct?Answer
x

Always odd

✓

Always even

x

Sometimes odd sometimes even

x

None of the above

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